Answer
b=56 5/8
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{8b}{24}+\frac{3}{24}=\frac{456}{24}$
We now can combine the denominators on the same side of the equation:
$\frac{8b+3}{24}=\frac{456}{24}$
We then multiply both sides by 24 to find:
$8b+3=456$
We subtract 3 and then divide by 8 to obtain that b=56 5/8
We plug 56 5/8 in for b and confirm that our answer is, indeed, correct.
